An exponential formula for polynomial vector fields. II: Lie series, exponential substitution, and rooted trees
DOI10.1006/aima.1999.1841zbMath0969.34006OpenAlexW1557176446MaRDI QIDQ1970021
Publication date: 7 October 2001
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/aima.1999.1841
Symbolic computation and algebraic computation (68W30) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Explicit solutions, first integrals of ordinary differential equations (34A05) Qualitative theory for ordinary differential equations (34C99) Multilinear algebra, tensor calculus (15A69)
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Uses Software
Cites Work
- Solving nonlinear equations from higher order derivations in linear stages
- Hopf-algebraic structure of families of trees
- The number of homeomorphically irreducible trees, and other species
- Lie series and nonlinear ordinary differential equations
- Enumerations of ordered trees
- Permutation statistics and linear extensions of posets
- A binary tree decomposition space of permutation statistics
- Symbolic computation of derivations using labelled trees
- Counting asymmetric enriched trees
- An exponential formula for polynomial vector fields
- Ramanujan grammar and Cayley trees
- The number of trees
- The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
- The Counting and Coding of Trees of Fixed Diameter
- Every one a Winner or how to Avoid Isomorphism Search when Cataloguing Combinatorial Configurations
- A note on plane trees
- A Note on Homogeneous Dendrites
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